Manin-Radul超对称KdV方程的贝克隆变换、非线性叠加公式及其离散化
PDF下载 (245)夏爱玲,薛玲玲.Manin-Radul超对称KdV方程的贝克隆变换、非线性叠加公式及其离散化[J].宁波大学学报(理工版),2019,32(4):57-62.DOI:
XIA Ailing,XUE Lingling.B?cklund transformation, nonlinear superposition formula and discretizations for Manin-Radul super symmetric KdV equation[J].Journal of Ningbo University(Natural Science & Engineering Edition),2019,32(4):57-62.DOI:
| Title: | B?cklund transformation, nonlinear superposition formula and discretizations for Manin-Radul super symmetric KdV equation |
| 作者: | 夏爱玲, 薛玲玲 |
| Author(s): | XIA Ailing, XUE Lingling |
| 关键词: | 贝克隆变换; 非线性叠加公式; 孤子解; 离散可积系统; 超对称KdV方程 |
| Keywords: | B?cklund transformation; nonlinear superposition formula; soliton solutions; discrete integrable systems; super symmetric KdV equation |
| 分类号: | O175.29 |
| 文献标识码: | A |
| 摘要: | 给出了Manin-Radul超对称KdV方程的贝克隆变换和非线性叠加公式, 由此获得了超的一孤子解和二孤子解, 构造了超的半离散系统和全离散系统, 并考虑了离散系统的连续极限. |
| Abstract: | In this paper, a B?cklund transformation and a nonlinear superposition formula for the Manin-Radul super symmetric KdV equation are presented, which are used to construct super 1-soliton and 2-soliton solutions, respectively. In addition, super semi-discrete and fully discrete systems are derived and the continuum limits of these discrete systems are also taken into consideration. |
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| 备注/Memo: | 收稿日期: 2019－02－27. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/基金项目: 国家自然科学基金（11501312）; 浙江省自然科学基金（LQ15A010002）; 宁波大学王宽诚幸福基金.第一作者: 夏爱玲（1995－）, 女, 安徽阜阳人, 在读硕士研究生, 主要研究方向: 孤立子理论与可积系统. E-mail: 976791060@qq.com*通信作者: 薛玲玲（1986－）, 女, 浙江宁波人, 讲师, 主要研究方向: 孤立子理论与可积系统. E-mail: xuelingling@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
